Department of Mathematics Faculty of Sciences UMMTO University
10.22080/cjms.2024.23197.1621
Abstract
Exponential partial Bell polynomials are a main tool for computing explicit formula for a large family of numbers and polynomials. Using these polynomials, we review most of the polynomials already studied in the book of Djordjevic-Milovanovic (2014). This study allows to unify the writing of these polynomials and obtain other extensions. Consequently the obtained results find their application in Number Theory; notably for the arithmetical properties of power products, Fermat numbers, Mersenne numbers and Fermat Last Theorem.
Mouloud, G. (2024). Bell polynomials for computing closed formulae of numbers and polynomials. Caspian Journal of Mathematical Sciences, 13(2), 246-262. doi: 10.22080/cjms.2024.23197.1621
MLA
Goubi Mouloud. "Bell polynomials for computing closed formulae of numbers and polynomials", Caspian Journal of Mathematical Sciences, 13, 2, 2024, 246-262. doi: 10.22080/cjms.2024.23197.1621
HARVARD
Mouloud, G. (2024). 'Bell polynomials for computing closed formulae of numbers and polynomials', Caspian Journal of Mathematical Sciences, 13(2), pp. 246-262. doi: 10.22080/cjms.2024.23197.1621
VANCOUVER
Mouloud, G. Bell polynomials for computing closed formulae of numbers and polynomials. Caspian Journal of Mathematical Sciences, 2024; 13(2): 246-262. doi: 10.22080/cjms.2024.23197.1621
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